4557746772544 has 189 divisors, whose sum is σ = 10699070920713. Its totient is φ = 1920784352256.

The previous prime is 4557746772541. The next prime is 4557746772563. The reversal of 4557746772544 is 4452776477554.

The square root of 4557746772544 is 2134888.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 751189690944 + 3806557081600 = 866712^2 + 1951040^2 .

It is a Harshad number since it is a multiple of its sum of digits (67).

It is a self number, because there is not a number n which added to its sum of digits gives 4557746772544.

It is not an unprimeable number, because it can be changed into a prime (4557746772541) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8010099492 + ... + 8010100060.

Almost surely, 2^{4557746772544} is an apocalyptic number.

4557746772544 is the 2134888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4557746772544

4557746772544 is an abundant number, since it is smaller than the sum of its proper divisors (6141324148169).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4557746772544 is an frugal number, since it uses more digits than its factorization.

4557746772544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 645 counting only the distinct ones).

The product of its digits is 921984000, while the sum is 67.

The spelling of 4557746772544 in words is "four trillion, five hundred fifty-seven billion, seven hundred forty-six million, seven hundred seventy-two thousand, five hundred forty-four".